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University of Illinois at Urbana-Champaign
On the Rogers-Ramanujan and Ramanujan-Gollnitz-Gordon Continued Fractions
Abstract
dc:descriptionIn a manuscript of Ramanujan, published with his Lost Notebook, there are forty identities involving the Rogers-Ramanujan functions. According to G. N. Watson, the beauty of these identities is comparable to that of the Rogers-Ramanujan identities. In the final chapter, we establish modular relations involving the Gollnitz-Gordon functions which are analogous to Ramanujan's forty identities. Furthermore, we extract interesting theorems on partitions from some of the modular relations.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Huang, Sen-Shan
- Contributors dc:contributor
-
- Bruce, Berndt
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI9737136
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86947